To get the best deal on Tutoring, call 1-855-666-7440 The unit rate is a comparison of two different quantities when they are combined together. Unit Rate is the ratio of two measurements in which the second term is 1. The two measurements involved for which ratio are taken in unit rate is always different. Common Unit Rates include dollars per night, miles per hour, earnings per week, cost per item, heartbeats per minute and cents per litre.  If Kim earns $180 in 20 hours, then unit rate of her earning is given as 180/20 = $9 per hour. Solved problems of unit rate are given below: Solved Examples Question 1: Calculate the unit rate of  ? Question 2: An employ earns 2500 Rs with in 5 hrs. How much is the unit rate? PRACTICE (online exercises and printable worksheets) This page gives an in-a-nutshell discussion of the concepts. For a complete discussion, Here are some examples of rates: [beautiful math coming... please be patient] also commonly seen as

$\,\$5/\text{hr}\,$, and read as “five dollars per hour” “forty miles per three days” “ten kilograms per cubic inch” A rate is a mathematical expression, and like all types of mathematical expressions, rates have lots of different names. = \frac{50\text{ cents}}{6\text{ min}} Notice that each of these names has a unit of currency (a money unit) in the numerator, and a unit of time in the denominator.what are the parts of an ac unit A rate can be renamed to a new desired name,what is the size of my ac unit providing the type of units in the numerator and denominator (e.g., length, time, volume, mass/weight) remain the same.window ac units power requirements For example, suppose a rate has a unit of length in the numerator,

and a unit of volume in the denominator. Then, it can only be renamed to rates that have length in the numerator and volume in the denominator. $\,1\,$ to rename in an appropriate way provides a beautiful way to unify the solution of all kinds of rate problems, as shown in the next example. Step 1:   Identify the original rate. Step 2:   Identify the name for the rate that you want. $\,x\,$ for any number that is unknown. Step 3:   Check that the original rate and its desired new name i.e., same types of units in both numerator and denominator. Answer: Both rates have units of length upstairs (feet and inches), and units of time downstairs Step 4:  Turn the original rate into the new name by multiplying by $\,1\,$ in appropriate ways. = \frac{2\text{ ft}}{1\text{ hr}} \cdot \frac{12\text{ in}}{1\text{ ft}} \cdot \frac{1\text{ hr}}{60\text{ min}} = \frac{7\text{ in}}{17.5\text{ min}}

Thus, it takes 17.5 minutes for the snail to crawl 7 inches. Notice the single complete mathematical sentence. This approach is fast and efficient, once you get used to working with fractions within fractions. There are lots more details on this process in the text. Step 1:   Convert the given rate to the desired units. = \frac{24\text{ in}}{60\text{ min}} Step 2:   Set up and solve a proportion. = \frac{7\text{ in}}{x\text{ min}} (set up a proportion) x = \frac{420}{24} = 17.5 An object travels $\,5\text{ ft}\,$ in $\,8\text{ min}\,$. Master the ideas from this section by practicing the exercise at the bottom of this page. When you're done practicing, move on to: Feel free to use scrap paper and a calculator to compute your answers. In this problem set, you will not type in your answers. You will just compare your answer with the one given here. Depending on how you do the unit conversion, you may get a slightly different answer than

the answer reported here.If your answer is close, then you're fine! For this exercise, use only the conversion information given in the Unit Conversion Tables to compute your answers. All answers are either exact, or rounded to six decimal places. It is possible to get $\,0.000000\,$ as an answer.offers hundreds of practice questions and video explanations. Sign up or log in to Magoosh GMAT Prep.Grade 6 Mathematics Module 1: Ratios and Unit Rates Students begin their sixth grade year investigating the concepts of ratio and rate. They use multiple forms of ratio language and ratio notation, and formalize understanding of equivalent ratios. Students apply reasoning when solving collections of ratio problems in real world contexts using various tools (e.g., tape diagrams, double number line diagrams, tables, equations and graphs). Students bridge their understanding of ratios to the value of a ratio, and then to rate and unit rate, discovering that a percent of a quantity is a rate per 100.

The 35 day module concludes with students expressing a fraction as a percent and finding a percent of a quantity in real world concepts, supporting their reasoning with familiar representations they used previously in the module. Below are additional resources to help your student be successful: 2.  This is another great video!! Click this link to watch a ratio problem being solved with a tape diagram:  http://youtu.be/Nlf2cDFD0tw Video made by Mrs. Eddy about tape diagrams   http://youtu.be/ecVDWPeqLno Quick video to compare ratios using a table! How to find missing ratio values using a ratio table. Solve a problem using a table. How to make equivalent ratios http://youtu.be/nb88Bv96f_Q Interactive Percent Grid Click There => : http://nlvm.usu.edu/en/nav/frames_asid_333_g_3_t_1.html?from%20category_g_3_t_1.html Problem Solving and Data AnalysisScreen reader users, click here to load entire articleThis page uses JavaScript to progressively load the article content as a user scrolls.

Screen reader users, click the load entire article button to bypass dynamically loaded article content. Volume 13, Issue 9, September 2013, Pages 3873–3883 Unit commitment problem with ramp rate constraint using a binary-real-coded genetic algorithm Received 2 September 2011, Revised 10 March 2013, Accepted 17 May 2013, Available online 11 June 2013Highlights•The unit commitment problem (UCP) with the ramp rate constraint is studied.•A binary-real-coded genetic algorithm (GA) is proposed as the solution technique of the UCP.•The binary part of the GA deals with the scheduling of units of the UCP.•The real part of the GA determines the amounts of power generated by committed units.•Some mechanisms are also incorporated in the GA for repairing infeasible solutions.The unit commitment problem (UCP) is a nonlinear mixed-integer optimization problem, encountered as one of the toughest problems in power systems. The problem becomes even more complicated when dynamic power limit based ramp rate constraint is taken into account.

Due to the inadequacy of deterministic methods in handling large-size instances of the UCP, various metaheuristics are being considered as alternative algorithms to realistic power systems, among which genetic algorithm (GA) has been investigated widely since long back. Such proposals have been made for solving only the integer part of the UCP, along with some other approaches for the real part of the problem. Moreover, the ramp rate constraint is usually discussed only in the formulation part, without addressing how it could be implemented in an algorithm. In this paper, the GA is revisited with an attempt to solve both the integer and real parts of the UCP using a single algorithm, as well as to incorporate the ramp rate constraint in the proposed algorithm also. In the computational experiment carried out with power systems up to 100 units over 24-h time horizon, available in the literature, the performance of the proposed GA is found quite satisfactory in comparison with the previously reported results.